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Poly-symplectic Geometry and the AKSZ Formalism (1912.07697v2)
Published 16 Dec 2019 in math-ph, math.DG, math.MP, and math.SG
Abstract: We extend the AKSZ formulation of the Poisson sigma model to more general target spaces, and we develop the general theory of graded geometry for poly-symplectic and poly-Poisson structures. In particular we prove a Schwarz-type theorem and transgression for graded poly-symplectic structures, recovering the action functional and the poly-symplectic structure of the reduced phase space of the poly-Poisson sigma model, from the AKSZ construction.
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